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Finding the Fourth Proportional to 59,900, 89,854.32 and 22,964

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Solution

The fourth proportional to 59,900, 89,854.32 and 22,964 is: 34,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,900 : 89,854.32 = 22,964 : x
  2. Step 2: Convert to fraction form
    59,900/89,854.32 = 22,964/x
  3. Step 3: Cross multiply
    59,900x = 89,854.32 × 22,964
  4. Step 4: Simplify right side
    59,900x = 2,063,414,604.48
  5. Step 5: Solve for x
    x = 2,063,414,604.48/59,900
  6. Step 6: Final answer
    x = 34,447.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.